document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311546>Question 311546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! The ancient Greeks thought that the<BR>\n" );
document.write( "most pleasing shape for a rectangle was one for which the<BR>\n" );
document.write( "ratio of the length to the width was approximately 8 to 5,<BR>\n" );
document.write( "the golden ratio. If the length of a rectangular painting is<BR>\n" );
document.write( "2 ft longer than its width, then for what dimensions would<BR>\n" );
document.write( "the length and width have the golden ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222828 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ancient Greeks thought that the<BR>\n" );
document.write( "most pleasing shape for a rectangle was one for which the<BR>\n" );
document.write( "ratio of the length to the width was approximately 8 to 5,<BR>\n" );
document.write( "the golden ratio. If the length of a rectangular painting is<BR>\n" );
document.write( "2 ft longer than its width, then for what dimensions would<BR>\n" );
document.write( "the length and width have the golden ratio?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Here's one way<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "8x = the length<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5x = the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" length of a rectangular painting is 2 ft longer than its width,\"<BR>\n" );
document.write( "8x = 5x + 2<BR>\n" );
document.write( "8x - 5x = 2<BR>\n" );
document.write( "3x = 2<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "8*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F3 ALIGN=MIDDLE  ALT=\"16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft is the length<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft is the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can see there is a 2' difference </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );